In: Math
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y) differences is approximately normally distributed. A claim is made that the mean difference (x−y)(x-y) is greater than 17.9.
x | 67 | 79 | 68 | 52 | 56 | 78 | 78 | 78 |
---|---|---|---|---|---|---|---|---|
y | 30 | 50 | 32 | 49 | 31 | 51 | 37 | 35 |
For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round each of your answers to 3 places after the decimal point.
(a) Calculate the value of the test statistic used in this test.
Test statistic's value =
(b) Use your calculator to find the P-value of this test.
P-value =
(c) Use your calculator to find the critical value(s) used to test this claim at the 0.04 significance level. If there are two critical values, then list them both with a comma between them.
Critical value(s) =
(d) What is the correct conclusion of this hypothesis test at the 0.04 significance level?